What is the Greatest Common Factor of 36015 and 36024?

Greatest common factor (GCF) of 36015 and 36024 is 3.

GCF(36015,36024) = 3

We will now calculate the prime factors of 36015 and 36024, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36015 and 36024.

How to find the GCF of 36015 and 36024?

We will first find the prime factorization of 36015 and 36024. After we will calculate the factors of 36015 and 36024 and find the biggest common factor number .

Step-1: Prime Factorization of 36015

Prime factors of 36015 are 3, 5, 7. Prime factorization of 36015 in exponential form is:

36015 = 3¹ × 5¹ × 7⁴

Step-2: Prime Factorization of 36024

Prime factors of 36024 are 2, 3, 19, 79. Prime factorization of 36024 in exponential form is:

36024 = 2³ × 3¹ × 19¹ × 79¹

Step-3: Factors of 36015

List of positive integer factors of 36015 that divides 36015 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 343, 735, 1029, 1715, 2401, 5145, 7203, 12005

Step-4: Factors of 36024

List of positive integer factors of 36024 that divides 36015 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 79, 114, 152, 158, 228, 237, 316, 456, 474, 632, 948, 1501, 1896, 3002, 4503, 6004, 9006, 12008, 18012

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36015 and 36024. The biggest common factor number is the GCF number.
So the greatest common factor 36015 and 36024 is 3.

Also check out the Least Common Multiple of 36015 and 36024